Rodgers has done a superb job since taking charge of Leicester earlier this year, with the Foxes now occupying third place in the Premier League table.
"My focus is very much here with Leicester. I absolutely love it here".
Arsenal's first game since the firing of Unai Emery as coach extended its winless run to an eighth match in all competitions.
Leicester didn't play like title contenders for most of its game against Everton, but got the result when it mattered. "Then VAR proved Iheanacho's strike was a goal". It looked initially as though the visitors had been saved by the offside flag but a check by the Video Assistant Referee concluded that the striker was onside.
"I've been waiting for this opportunity and I knew one day it was going to come so I've been working hard in training every day to make sure I keep up to this standard", Iheanacho said.
"I think for me in this moment we've had a brilliant win today".
Since he took over in February, Leicester's form has been nothing short of spectacular, with 16 wins and four draws from their 25 league games under the 46-year-old former Liverpool and Celtic boss who now can do no wrong.
Teemu Pukki opened the scoring with a deflected shot while Aubameyang equalised with a retaken penalty, having missed the first but given a lifeline because of encroachment.
Everton fell to their eighth defeat of the season but it came in cruel circumstances in stoppage time at the King Power Stadium when Kelechi Iheanacho's goal was eventually ruled as legitimate by VAR.
Villa also displayed a style United lacked, typified by Jack Grealish's excellent top-corner finish for the opening goal and Mings' volley to make it 2-2.
Wolves defender Matt Doherty heads the equalising goal past Sheffield United goalkeeper Dean Henderson. We reiterated at half time about keeping the patience.
"With a better pass we could have had more".
It had been expected that Silva would remain in charge for that game and that is still likely to be the case.